Introduction to Shape Optimization

This book presents modern functional analytic methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems.

שנה

1992

שפה

English

סדרה

Springer Series in Computational Mathematics -- 16

הוצאה

Springer Berlin Heidelberg

מהדורות

3

עמודים

250

ISBN

9783642634710

מקור הנתונים: Wikidata